Publications related to Equal-order discontinuous finite volume element methods for the Stokes problem

MATHICSE Technical Report: A discontinuous Galerkin reduced basis numerical homogenization method for fluid flow in porous media

We present a new conservative multiscale method for Stokes flow in heterogeneous porous media. The method couples a discontinuous Galerkin finite element method(DG-FEM) at the macroscopic scale for the solution of an effective Darcy equation with a Stokes ...

MATHICSE2015

Model reduction based on proper generalized decomposition for the steady incompressible Navier-Stokes equations

Lorenzo Tamellini

In this paper we consider a Proper Generalized Decomposition method to solve the steady incompressible Navier–Stokes equations with random Reynolds number and forcing term. The aim of such technique is to compute a low-cost reduced basis approximation of t ...

Siam Publications2014

Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics

Alfio Quarteroni, Luca Dede', Anna Tagliabue

In this paper, we consider the numerical approximation of high order Partial Differential Equations (PDEs) by means of NURBS-based Isogeometric Analysis (IGA) in the framework of the Galerkin method, for which global smooth basis functions with degree of c ...

Elsevier2014

An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations

Ricardo Esteban Ruiz Baier

This paper deals with the numerical approximation of the stationary two-dimensional Stokes equations, formulated in terms of vorticity, velocity and pressure, with non-standard boundary conditions. Here, by introducing a Galerkin least-squares term, we end ...

Elsevier2013

An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations

Ricardo Esteban Ruiz Baier

This paper deals with the numerical approximation of the stationary two-dimensional Stokes equations, formulated in terms of vorticity, velocity and pressure, with non-standard boundary conditions. Here, by introducing a Galerkin least-squares term, we end ...

Elsevier2013

Vertical excitation of axisymmetric liquid bridges

Massimo Mastrangeli, Pierre Lambert

This study presents an analytical model of the dynamics of an axisymmetric liquid bridge confined between two circular pads and subjected to small vertical periodic perturbations. Such system finds important applications in microassembly and microjoint des ...

Elsevier2013

Parallel Preconditioners for Navier-Stokes Equations and Fluid-Structure Interaction Problems

Gwenol Grandperrin

The Navier–Stokes equations play a key role in the modeling of blood flows in the vascular sys- tem. The cost for solving the 3D linear system obtained by Finite Element (FE) discretization of the equations, using tetrahedral unstructured meshes and time a ...

EPFL2013

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

Stabilized reduced basis approximation of incompressible three-dimensional Navier–Stokes equations in parametrized deformed domains

Simone Deparis

In this work we are interested in the numerical solution of the steady incompressible Navier-Stokes equations for fluid flow in pipes with varying curvatures and cross-sections. We intend to compute a reduced basis approximation of the solution, employing ...

Springer Verlag2012

Shape optimization for viscous flows by reduced basis methods and free-form deformation

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni

In this paper we further develop an approach previously introduced in [Lassila and Rozza, C.M.A.M.E 2010] for shape optimization that combines a suitable low-dimensional parametrization of the geometry (yielding a geometrical reduction) with reduced basis ...

Wiley-Blackwell2012

Equal-order discontinuous finite volume element methods for the Stokes problem

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MATHICSE Technical Report: A discontinuous Galerkin reduced basis numerical homogenization method for fluid flow in porous media

Model reduction based on proper generalized decomposition for the steady incompressible Navier-Stokes equations

Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics

An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations

An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations

Vertical excitation of axisymmetric liquid bridges

Parallel Preconditioners for Navier-Stokes Equations and Fluid-Structure Interaction Problems

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Stabilized reduced basis approximation of incompressible three-dimensional Navier–Stokes equations in parametrized deformed domains

Shape optimization for viscous flows by reduced basis methods and free-form deformation

Model reduction based on proper generalized decomposition for the steady incompressible Navier-Stokes equations

MATHICSE Technical Report: A discontinuous Galerkin reduced basis numerical homogenization method for fluid flow in porous media

Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics

Parallel Preconditioners for Navier-Stokes Equations and Fluid-Structure Interaction Problems

An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations

Vertical excitation of axisymmetric liquid bridges

Stabilized reduced basis approximation of incompressible three-dimensional Navier–Stokes equations in parametrized deformed domains

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations

Shape optimization for viscous flows by reduced basis methods and free-form deformation